Agreeing to disagree in infinite information structures
type: Item
instance of: scholarly article
title: Agreeing to disagree in infinite information structures
zbMATH Open document ID: 0758.90085
DOI: 10.1007/BF01245462
author: Dov Samet
published in: International Journal of Game Theory
publication date: 1992-12-07T00:00:00Z
review text: Generalized information structures, that is, information structures that are not partitions, are needed when we wish to impose some limitations on the concept of knowledge or bound rationality. In a previous work the author showed that the impossibility of `agreeing to disagree', which was proved by R. Aumann for partitions, also holds for reflexive-transitive information structures when certain restrictions are imposed on such structures. In particular, finite reflexive-transitive structures satisfy these restrictions. Now we show that the restrictions are not superflous by constructing infinite reflexive-transitive information structures for which agents can agree not to agree.
Mathematics Subject Classification ID: 91A05
zbMATH DE Number: 70160
zbMATH Keywords: generalized information structures
MaRDI profile type: Publication
cites work: Agreeing to disagree
cites work: Correlated equilibrium with generalized information structures
cites work: Ignoring ignorance and agreeing to disagree
cites work: On the logic of ``agreeing to disagree'' type results
description: scientific article; zbMATH DE number 70160